What is the Least Common Multiple of 95574 and 95583?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 95574 and 95583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95574 and 95583, than apply into the LCM equation.

GCF(95574,95583) = 3
LCM(95574,95583) = ( 95574 × 95583) / 3
LCM(95574,95583) = 9135249642 / 3
LCM(95574,95583) = 3045083214

Least Common Multiple (LCM) of 95574 and 95583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95574 and 95583. First we will calculate the prime factors of 95574 and 95583.

Prime Factorization of 95574

Prime Factorization of 95583

Now multiplying the highest exponent prime factors to calculate the LCM of 95574 and 95583.

LCM(95574,95583) = 2¹ × 3¹ × 17¹ × 937¹ × 151¹ × 211¹
LCM(95574,95583) = 3045083214